PPT-Some Graph Problems

LiniAls Conjecture Backgound In a partially ordered set we have Dilworths Theorem The largest size of an independent set completely unordered set is the smallest number of blocks in a partition of the elements into completely ordered sets. Richard M. Karp. Bangalore, January 5, 2011. NP-Hard Problems. The P vs. NP problem: Is finding a solution to a combinatorial search problem as easy as checking a solution. The answer is expected to be “No.”. Xiaoming. Sun and David P. Woodruff. Chinese Academy of Sciences and IBM Research-. Almaden. Streaming Models. Long sequence of items appear one-by-one. numbers, points, edges, …. (usually) . adversarially. 3101. Prof. Andy Mirzaian. NP-Completeness. STUDY MATERIAL:. . [CLRS]. chapter 34. 2. TOPICS. Preliminaries. Complexity Classes P, NP, co-NP, . NP-complete. Polynomial Reducibility & NP-Completeness. A part of the facility location problem set. By Kiril Yershov and . Alla. Segal. For Geometric Optimizations course. Fall 2010. The P-Center problem. Given n cities and the distances between all pairs of cities, we aim to choose p cities as centers so that the furthest distance of a city from a center is minimized.. Polynomial Problems (P Family). The set of problems that can be . solved. . in polynomial time . These problems form the P family . All problems we covered so far are in P. P. Nondeterministic Polynomial (NP Family). Bart M. P. Jansen. Joint work with Stefan . Kratsch. August 22. nd . 2011, Oslo. Vertex Coloring of Graphs. Given an undirected graph G and integer q, can we assign each vertex a color from {1, 2, …, q} such that adjacent vertices have different colors?. Hierarchy, Higher . Eigenvalues. , . and Graph Partitioning. Venkatesan. . Guruswami. Carnegie Mellon University. --- Mysore Park Workshop, August 10, 2012 ---. Joint work with . Ali . Kemal. . Sinop. Theory of Computation. Alexander . Tsiatas. Spring 2012. Theory of Computation Lecture Slides by Alexander . Tsiatas. is licensed under a Creative Commons Attribution-. NonCommercial. -. ShareAlike. Xiaoming. Sun and David P. Woodruff. Chinese Academy of Sciences and IBM Research-. Almaden. Streaming Models. Long sequence of items appear one-by-one. numbers, points, edges, …. (usually) . adversarially. Undergraduate Research. Cindy Wyels. CSU Channel Islands. Research with Undergraduates Session. MathFest, 2009. Overview. Distance labeling schemes. Radio labeling. Research with undergrads: context. Xiaoming. Sun and David P. Woodruff. Chinese Academy of Sciences and IBM Research-. Almaden. Streaming Models. Long sequence of items appear one-by-one. numbers, points, edges, …. (usually) . adversarially. Data Structures and Algorithms. CSE 373 WI 19 - Kasey Champion. 1. Last Time. We described algorithms to find:. CSE 373 SP 18 - Kasey Champion. 2. An ordering of the vertices so all edges go from left to right. . Data Structures and Algorithms. CSE 373 19 . Sp. - Kasey Champion. 1. Administrivia. HW 7 Due Friday. Final exam review Wednesday 6/5 4-5:50. Final exam next Tuesday!. Double check all grades . Please fill out survey. Richard M. Karp. Bangalore, January 5, 2011. NP-Hard Problems. The P vs. NP problem: Is finding a solution to a combinatorial search problem as easy as checking a solution. The answer is expected to be “No.”.